Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5324/142,3314/6091
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5324,3314
Greatest Common Factor of Numerators i.e. GCF of 5324,3314 is 2 .
LCM of Denominators means LCM of 142,6091 as per the given fractions.
LCM of 142,6091 is 864922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5324,3314
2 | 5324, 3314 |
2662, 1657 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5324
List of positive integer factors of 5324 that divides 5324 without a remainder.
1,2,4,11,22,44,121,242,484,1331,2662,5324
Factors of 3314
List of positive integer factors of 3314 that divides 3314 without a remainder.
1,2,1657,3314
Greatest Common Factor
We found the factors 5324,3314 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,3314 is 2.
Lets's calculate LCM of 142,6091
Given numbers has no common factors except 1. So, there LCM is their product i.e 864922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/864922
Therefore, the GCF of Fractions 5324/142,3314/6091 is 2/864922
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 142,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,6091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,6091) x common factors =1 x 1 = 1
LCM(142,6091) = ( 142 × 6091 ) / 1
LCM(142,6091) = 864922 / 1
LCM(142,6091) = 864922
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 5324/142, 3314/6091?
Answer: GCF of Numerators as per given numbers 5324/142, 3314/6091 is
GCF of Numerators i.e. for 5324,3314 is 2
LCM of denominators i.e. for 142,6091 is 864922.
Thus, GCF of Fractions is 2/864922.Finally, GCF of Fractions for 5324/142, 3314/6091 is 2/864922.